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In this paper we propose a pooling approach for convolutional information processing on graphs relying on the theory of graphons and limits of dense graph sequences. We present three methods that exploit the induced graphon representation…

Machine Learning · Computer Science 2023-08-24 Alejandro Parada-Mayorga , Zhiyang Wang , Alejandro Ribeiro

Current modularity-based community detection algorithms attempt to find cluster memberships that maximize modularity within a fixed graph topology. Diverging from this conventional approach, our work introduces a novel strategy that employs…

Data Analysis, Statistics and Probability · Physics 2024-02-27 Yongyu Wang , Shiqi Hao , Xiaoyang Wang , Xiaotian Zhuang

Graph classification aims to categorise graphs based on their structure and node attributes. In this work, we propose to tackle this task using tools from graph signal processing by deriving spectral features, which we then use to design…

Machine Learning · Computer Science 2023-06-07 Felix L. Opolka , Yin-Cong Zhi , Pietro Liò , Xiaowen Dong

Graph Neural Networks (GNNs) have shown advantages in various graph-based applications. Most existing GNNs assume strong homophily of graph structure and apply permutation-invariant local aggregation of neighbors to learn a representation…

Machine Learning · Computer Science 2022-01-04 Tianmeng Yang , Yujing Wang , Zhihan Yue , Yaming Yang , Yunhai Tong , Jing Bai

The graph is one of the most widely used mathematical structures in engineering and science because of its representational power and inherent ability to demonstrate the relationship between objects. The objective of this work is to…

Data Structures and Algorithms · Computer Science 2021-01-01 Shri Prakash Dwivedi

Graph Neural Networks (GNNs) have proven to be effective in processing and learning from graph-structured data. However, previous works mainly focused on understanding single graph inputs while many real-world applications require pair-wise…

Machine Learning · Computer Science 2023-07-31 Junhyun Lee , Bumsoo Kim , Minji Jeon , Jaewoo Kang

In traditional graph retrieval tools, graph matching is commonly used to retrieve desired graphs from extensive graph datasets according to their structural similarities. However, in real applications, graph nodes have numerous attributes…

Information Retrieval · Computer Science 2025-07-29 Yuhua Liu , Haoxuan Wang , Jiajia Kou , Ling Sun , Heyu Wang , Yongheng Wang , Yigang Wang , Jinchang Lic , Zhiguang Zhou

Multi-attributed graph matching is a problem of finding correspondences between two sets of data while considering their complex properties described in multiple attributes. However, the information of multiple attributes is likely to be…

Computer Vision and Pattern Recognition · Computer Science 2017-04-25 Han-Mu Park , Kuk-Jin Yoon

The increasing availability of graph-structured data motivates the task of optimising over functions defined on the node set of graphs. Traditional graph search algorithms can be applied in this case, but they may be sample-inefficient and…

Machine Learning · Computer Science 2023-10-31 Xingchen Wan , Pierre Osselin , Henry Kenlay , Binxin Ru , Michael A. Osborne , Xiaowen Dong

The graph identification problem consists of discovering the interactions among nodes in a network given their state/feature trajectories. This problem is challenging because the behavior of a node is coupled to all the other nodes by the…

Systems and Control · Electrical Eng. & Systems 2023-10-24 Eduardo Sebastian , Thai Duong , Nikolay Atanasov , Eduardo Montijano , Carlos Sagues

Graph convolutional networks have made great progress in graph-based semi-supervised learning. Existing methods mainly assume that nodes connected by graph edges are prone to have similar attributes and labels, so that the features smoothed…

Machine Learning · Computer Science 2022-06-13 Yating Ren , Junzhong Ji , Lingfeng Niu , Minglong Lei

The integration of Graph Neural Networks (GNNs) with Large Language Models (LLMs) has emerged as a promising paradigm for Graph Question Answering (GraphQA). However, effective methods for encoding complex structural information into the…

Machine Learning · Computer Science 2026-04-02 Ankit Grover , Lodovico Giaretta , Rémi Bourgerie , Sarunas Girdzijauskas

Most existing graph clustering methods primarily focus on exploiting topological structure, often neglecting the ``missing-half" node feature information, especially how these features can enhance clustering performance. This issue is…

Machine Learning · Computer Science 2025-01-10 Xuanting Xie , Bingheng Li , Erlin Pan , Zhaochen Guo , Zhao Kang , Wenyu Chen

Convolution and pooling are the key operations to learn hierarchical representation for graph classification, where more expressive $k$-order($k>1$) method requires more computation cost, limiting the further applications. In this paper, we…

Machine Learning · Computer Science 2021-01-01 Zhangyang Gao , Haitao Lin , Stan. Z Li

Though the multiscale graph learning techniques have enabled advanced feature extraction frameworks, the classic ensemble strategy may show inferior performance while encountering the high homogeneity of the learnt representation, which is…

Machine Learning · Computer Science 2021-03-18 Yuzhao Chen , Yatao Bian , Jiying Zhang , Xi Xiao , Tingyang Xu , Yu Rong , Junzhou Huang

Spectral clustering (SC) is a popular clustering technique to find strongly connected communities on a graph. SC can be used in Graph Neural Networks (GNNs) to implement pooling operations that aggregate nodes belonging to the same cluster.…

Machine Learning · Computer Science 2021-01-01 Filippo Maria Bianchi , Daniele Grattarola , Cesare Alippi

Fine-grained geometry, captured by aggregation of point features in local regions, is crucial for object recognition and scene understanding in point clouds. Nevertheless, existing preeminent point cloud backbones usually incorporate…

Computer Vision and Pattern Recognition · Computer Science 2021-11-30 Jie Wang , Jianan Li , Lihe Ding , Ying Wang , Tingfa Xu

The key towards learning informative node representations in graphs lies in how to gain contextual information from the neighbourhood. In this work, we present a simple-yet-effective self-supervised node representation learning strategy via…

Machine Learning · Computer Science 2022-03-24 Wei Dong , Junsheng Wu , Yi Luo , Zongyuan Ge , Peng Wang

Graph Neural Networks (GNNs), known as spectral graph filters, find a wide range of applications in web networks. To bypass eigendecomposition, polynomial graph filters are proposed to approximate graph filters by leveraging various…

Machine Learning · Computer Science 2024-05-22 Keke Huang , Wencai Cao , Hoang Ta , Xiaokui Xiao , Pietro Liò

Deep graph embedding is an important approach for community discovery. Deep graph neural network with self-supervised mechanism can obtain the low-dimensional embedding vectors of nodes from unlabeled and unstructured graph data. The…

Social and Information Networks · Computer Science 2021-02-09 Shuliang Xu , Shenglan Liu , Lin Feng